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3 years ago

Need help URGENT 7th grade Vertical Angles

Mathematics

1 answer:

maria [59]3 years ago

4 0

A) 52
b) 100
c) 28
d) 28
e) 52
f) 152
g) 80
h) 128
i) 128
j) 80

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

3 years ago

Read 2 more answers

Rectangle fence two sides will have lengths o 28 feet each and Ricky has 100 feet of fencing what is the greatest possible lengt

liraira [26]

Answer: 22

Step-by-step explanation: Perimeter of a rectangle is 2H + 2B = P

if each side has 28 feet then 28* 2 = 56. We take 100 - 56 = 44. Then we take 44/2 to find one remaining side = 22.

8 0

3 years ago

If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Burka [1]

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

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2 years ago

What's the explicit formula for the sequence :")

zzz [600]

Hello from MrBillDoesMath!

Answer:

a(n) = 12 - 3(n-1) , n = 1,2,3.,,

Discussion:

The terms are 12, 9, 6, 3 so we are apparently subtracting 3 from each succeeding term. . Hence

a(n) = 12 - 3(n-1) , n = 1,2,3.,,

Thank you,

MrB

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2 years ago

What is (2n+2n)-(3n-4n)

Yakvenalex [24]

Answer:

2n^{2} +2n

INSERT

Step-by-step explanation:first you want to move the negative which is negative 1 into the set of parenthesis and then Foil the two parenthesis together and the combine like terms

7 0

3 years ago

Need help *URGENT* 7th grade Vertical Angles

Need help URGENT 7th grade Vertical Angles